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Finding the Third Proportional to 171,339,492 and 261,024,564

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Solution

The third proportional to 171,339,492 and 261,024,564 is: 397,653,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,339,492 : 261,024,564 = 261,024,564 : x
  2. Step 2: Convert to fraction form
    171,339,492/261,024,564 = 261,024,564/x
  3. Step 3: Cross multiply
    171,339,492x = 261,024,564 × 261,024,564
  4. Step 4: Simplify right side
    171,339,492x = 68,133,823,011,390,096
  5. Step 5: Solve for x
    x = 68,133,823,011,390,096/171,339,492
  6. Step 6: Final answer
    x = 397,653,933.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.